Strong Unique Continuation for the Navier-Stokes Equation with Non-Analytic Forcing

Mihaela Ignatova, Igor Kukavica

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We establish the strong unique continuation property for differences of solutions to the Navier-Stokes system with Gevrey forcing. For this purpose, we provide Carleman-type inequalities with the same singular weight for the Laplacian and the heat operator.

Original languageEnglish (US)
Pages (from-to)1-15
Number of pages15
JournalJournal of Dynamics and Differential Equations
Volume25
Issue number1
DOIs
StatePublished - Mar 2013

All Science Journal Classification (ASJC) codes

  • Analysis

Keywords

  • Carleman estimates
  • Gevrey class
  • Navier-Stokes equation
  • Strong unique continuation

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